Hypothesis Testing for a Proportion

On average, how many students at each Broward high school prefer online school?

In current conditions, do high school students in Broward County prefer online school or in-person school?

$$p\ >\ 0.5$$

$$p\ =\ 0.5$$

$$p<0.5$$

$$p\le0.5$$

Null

Alternate

$$Ho:\ p\ =0.5$$
$$Ha:\ p\ne0.5$$

$$Ho:\ p\ \ge0.5$$
$$Ha:\ p\ >\ 0.5$$

$$Ho$$ : $$p\le0.5$$
$$Ha$$ : $$p>0.5$$

Left-tailed

Right-tailed

Two-tailed

Z-Test

T-Test

2-SampZTest

1- PropZTest

Reject the null

Fail to reject the null

We have enough evidence to reject the claim that Broward Schools students prefer online school

We do not have enough evidence to reject the claim that Broward Schools students prefer online school

We do not have enough evidence to support the claim that Broward Schools students prefer online school

We have enough evidence to support the claim that Broward Schools students prefer online school